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dc.contributor.authorAmler, Thomas
dc.contributor.authorAlkhalifah, Tariq Ali
dc.contributor.authorHoteit, Ibrahim
dc.date.accessioned2015-08-24T09:25:37Z
dc.date.available2015-08-24T09:25:37Z
dc.date.issued2014
dc.identifier.isbn9781632666949
dc.identifier.doi10.3997/2214-4609.20141529
dc.identifier.urihttp://hdl.handle.net/10754/575766
dc.description.abstractThe acoustic approximation is an efficient alternative to the equations of elastodynamics for modeling Pwave propagation in weakly anisotropic media. We present a stable discontinuous Galerkin (DG) method for solving the acoustic approximation in tilted TI media (acoustic TI approximation). The acoustic TI approximation is considered as a modification of the equations of elastodynamics from which a modified energy is derived. The modified energy is obtained by eliminating the shear stress in the coordinates determined by the tilt angle and finding an energy for the remaining unknowns. This construction is valid if the medium is not elliptically anisotropic, a requirement frequently found in the literature. In the fully discrete setting, the modified energy is also conserved in time the presence of sharp contrasts in material parameters. By construction, the scheme can be coupled to the (fully) acoustic wave equation in the same way as the equations of elastodynamics. Hence, the number of unknowns can be reduced in acoustic regions. Our numerical examples confirm the conservation of energy in the discrete setting and the stability of the scheme.
dc.publisherEAGE Publications
dc.titleA discontinuous Galerkin method for P-wave modeling in tilted TI media
dc.typeConference Paper
dc.contributor.departmentEarth Fluid Modeling and Prediction Group
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.departmentSeismic Wave Analysis Group
dc.identifier.journalProceedings 76th EAGE Conference and Exhibition 2014
dc.conference.date16 June 2014 through 19 June 2014
dc.conference.name76th European Association of Geoscientists and Engineers Conference and Exhibition 2014: Experience the Energy - Incorporating SPE EUROPEC 2014
dc.conference.locationAmsterdam
kaust.personAlkhalifah, Tariq Ali
kaust.personHoteit, Ibrahim
kaust.personAmler, Thomas


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